Central characters for smooth irreducible modular representations of GL_2(Q_p)
Representation Theory
2011-07-12 v3 Number Theory
Abstract
We prove that every smooth irreducible F_p^alg-linear representation of GL_2(Q_p) admits a central character.
Keywords
Cite
@article{arxiv.1107.0555,
title = {Central characters for smooth irreducible modular representations of GL_2(Q_p)},
author = {Laurent Berger},
journal= {arXiv preprint arXiv:1107.0555},
year = {2011}
}
Comments
Version 2 had a proof of the same result for F <> Q_p, however this proof was wrong